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Finding the Fourth Proportional to 208,427.90, 287,630.76 and 112,934.57

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Solution

The fourth proportional to 208,427.90, 287,630.76 and 112,934.57 is: 155,849.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,427.90 : 287,630.76 = 112,934.57 : x
  2. Step 2: Convert to fraction form
    208,427.90/287,630.76 = 112,934.57/x
  3. Step 3: Cross multiply
    208,427.90x = 287,630.76 × 112,934.57
  4. Step 4: Simplify right side
    208,427.90x = 32,483,456,199.37
  5. Step 5: Solve for x
    x = 32,483,456,199.37/208,427.90
  6. Step 6: Final answer
    x = 155,849.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.